Lesson objective: Solve problems involving fair share situations to practice reporting fractional remainders.

This lesson provides an opportunity for students to apply their knowledge and understanding of interpreting fractional remainders in a fair share situation to a real-life situation. Students are asked to create a list for the new owners of Pet Palace telling them how to evenly share the supplies left for the cats and kittens.

Key Concept students will use:

Skills students will use:

- interpret quotients of whole numbers as a number of shares and a number of groups. (Grade 3, Unit 7, 3.OA.1.2)
- use drawings and equations to represent and solve division situational problems involving equal groups. (Grade 3, Unit 7, 3.OA.1.2)

Students engage in Mathematical Practice 8 (Look for and express regularity in repeated reasoning) as they use solve a variety of similar situations that require them to express a remainder as a fairly shared amount.

**Key vocabulary: **

**denominator**: the number of equal-size parts into which the whole has been partitioned. For example, in the fraction \(3 \over 8\), 8 is the denominator. The denominator is written below the horizontal bar in a fraction. It is also the divisor.
**dividend**: the name for the number into which you are dividing in a division problem. For example, 36 is the dividend in the equation 36 ÷ 4 = 9.
**division**: A mathematical operation based on sharing or separating into equal parts.
**divisor**: the name for the number that divides another number. For example, in the equation 36 ÷ 4 = 9, the divisor is 4.
**equal**: exactly the same in value
**fractional remainder**: the amount left over when values are divided into equal shares, expressed as a fraction. In the division equation 16 ÷ 3 = 5 R1 the remainder is 1, which can also be expressed as \(1 \over 3\).
**numerator**: the number of equal parts being considered. For example, in the fraction \(3 \over 8\), 3 is the numerator. The numerator is written above the horizontal bar in a fraction. It is also the dividend.
**quotient**: The result of dividing one number by another number. For example, in the equation 36 ÷ 4 = 9, the quotient is 9.
**remainder: **The amount left over when values are divided into equal shares. In the division equation 16 ÷ 3 = 5 R1 the remainder is 1.